Approximate the area of the shaded region by using the Trapezoidal Rule with n=3.

Vrushali Raut asked Jul 25, 2023

356,175 views

27 votes

Vrushali Raut asked Jul 25, 2023

2.7k points

Your comment on this question:

Email me at this address if a comment is added after mine:Email me if a comment is added after mine

Privacy: Your email address will only be used for sending these notifications.

Email me at this address if my answer is selected or commented on:Email me if my answer is selected or commented on

Privacy: Your email address will only be used for sending these notifications.

16 votes

Let's use Trapezoidal Rule Formula

$\begin{gathered} (\Delta x)/(2)[f(x_0)+2f(x1)+........+2f(x_(n-1))+f\mleft(x_n\mright)] \\ \\ \Delta x=(b-a)/(n) \end{gathered}$

Replacing

$\Delta x=(10-(-20))/(3)=10$
$\begin{gathered} (10)/(2)[f(-20)+2f(-10)+2f(0)+f(10)] \\ \\ 5[f(-20)+2f(-10)+2f(0)+f(10)] \end{gathered}$

Replacing

$\begin{gathered} 5[30+2(20)+2(15)+25] \\ 5[30+40+30+25] \\ 25 \end{gathered}$

Answer: 25

Wamfous answered Jul 31, 2023

3.0k points

Email me at this address if a comment is added after mine:Email me if a comment is added after mine

Privacy: Your email address will only be used for sending these notifications.

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

1.6m questions

2.0m answers